6. a) From the relation P(AUB) = P(A)+P(B)-P(ANB), show that P(ANB) > P(A)+P(B)-1. Again, you should only use the probab
Posted: Sun Oct 03, 2021 3:21 pm
6. a) From the relation P(AUB) = P(A)+P(B)-P(ANB), show that P(ANB) > P(A)+P(B)-1. Again, you should only use the probability axioms given in class and not a Venn diagram. This inequality is called the Bonferroni's inequality. b) If the chance that it rains today is 0.6 and the chance it rains tomorrow is 0.7, what can you say about the chance that it rains both today and tomorrow by the result of (a)?